Publications

22. A. Brunk, M.F.P. ten Eikelder
    A simple fully-discrete energy-stable method for the two-phase Navier-Stokes Cahn-Hilliard mixture model with non-matching densities
    https://arxiv.org/abs/2504.00688
    pdf preprint
23. M.F.P. ten Eikelder, E.H. van Brummelen, D. Schillinger
    Compressible N-phase fluid mixture models
    https://arxiv.org/abs/2503.24225
    pdf preprint
24. J. Hohl, A. Ebrahem, E. Jessen, M.F.P. ten Eikelder, D. Schillinger
    A Multi-compartment Homogenized Perfusion Model for Deforming Hierarchical Vasculature
    
25. M.L. Mika, M.F.P. ten Eikelder, D. Schillinger, R.R. Hiemstra
    Matrix-free polynomial preconditioning of saddle point systems using the hyper-power method
    https://arxiv.org/abs/2311.06926
    pdf preprint

18. M.F.P. ten Eikelder
    A unified framework for N-phase Navier-Stokes Cahn-Hilliard Allen-Cahn mixture models with non-matching densities
    Journal of Fluid Mechanics 2025 (to appear)
    https://www.arxiv.org/abs/2407.20145
    pdf preprint
19. A. Ebrahem, J. Hohl, E. Jessen, M.F.P. ten Eikelder, D. Schillinger
    A Multiscale-Multiphysics Framework for Modeling Organ-scale Liver Regrowth
    Journal of the Mechanics and Physics of Solids, 200, 106113, 2025
    https://doi.org/10.1016/j.jmps.2025.106113
    pdf article
20. V. Badrkhani, R.R. Hiemstra, M.F.P. ten Eikelder, D. Schillinger
    The matrix-free macro-element hybridized discontinuous Galerkin method for compressible turbulent flows
    International Journal of Numerical Methods in Fluids 97: 462-483, 2025
    https://doi.org/10.1002/fld.5357
    pdf article

15. M.F.P. ten Eikelder, D. Schillinger
    The divergence-free velocity formulation of the consistent Navier-Stokes Cahn-Hilliard model with non-matching densities, divergence-conforming discretization, and benchmarks
    Journal of Computational Physics 513: 113148, 2024
    https://doi.org/10.1016/j.jcp.2024.113148
    pdf article
16. M.F.P. ten Eikelder, K.G. van der Zee, D. Schillinger
    Thermodynamically consistent diffuse-interface mixture models of incompressible multicomponent fluids
    Journal of Fluid Mechanics 990, A8, 2024
    https://doi.org/10.1017/jfm.2024.502
    pdf article
17. J. Lotz, M.F.P. ten Eikelder, I. Akkerman
    Space–time computations of exactly time-periodic flows past hydrofoils
    Computers and Fluids 277: 106286, 2024
    https://doi.org/10.1016/j.compfluid.2024.106286
    pdf article
18. A. Ebrahem, E. Jessen, M.F.P. ten Eikelder, T. Gangwar, M.L. Mika, D. Schillinger
    Connecting continuum poroelasticity with discrete synthetic vascular trees for modeling liver tissue
    Proceedings of the Royal Society A 480: 20230421, 2024
    https://doi.org/10.1098/rspa.2023.0421
    pdf article
19. M.F.P. ten Eikelder, S.K.F. Stoter, Y. Bazilevs, D. Schillinger
    Constraints for eliminating the Gibbs phenomenon in finite element approximation spaces,
    Mathematical Models and Methods in Applied Sciences, 2024
    https://doi.org/10.1142/S0218202524500040
    pdf article

10. M.F.P. ten Eikelder, K.G. van der Zee, I. Akkerman, D. Schillinger
    A unified framework for Navier-Stokes Cahn-Hilliard models with non-matching densities,
    Mathematical Models and Methods in Applied Sciences 33, 175-221, 2023
    https://doi.org/10.1142/S0218202523500069
    pdf article

9. M.F.P. ten Eikelder, I. Akkerman
   A novel diffuse-interface model and a fully-discrete maximum-principle-preserving energy-stable method for two-phase flow with surface tension and non-matching densities,
   Computer Methods Applied Mechanics and Engineering 379: 113751, 2021
   https://doi.org/10.1016/j.cma.2021.113751
   pdf article
10. S.K.F. Stoter, M.F.P. ten Eikelder, F. de Prenter, I. Akkerman, E.H. van Brummelen, C.V. Verhoosel, D. Schillinger
    Nitsche’s method as a variational multiscale formulation and a resulting boundary layer fine-scale model,
    Computer Methods Applied Mechanics and Engineering 382: 113878, 2021
    https://doi.org/10.1016/j.cma.2021.113878
    pdf article

7. I. Akkerman, J.H.A. Meijer, M.F.P. ten Eikelder
   Isogeometric analysis of linear free-surface potential flow,
   Ocean Engineering 201: article 107114, 2020
   https://doi.org/10.1016/j.oceaneng.2020.107114
   pdf article
8. M.F.P. ten Eikelder, Y. Bazilevs, I. Akkerman
   A theoretical framework for discontinuity capturing: Joining variational multiscale analysis and variation entropy theory,
   Computer Methods Applied Mechanics and Engineering 359: article 112664, 2020
   https://doi.org/10.1016/j.cma.2019.112664
   pdf article

5. M.F.P. ten Eikelder, I. Akkerman
   Variation entropy: a continuous local generalization of the TVD property using entropy principles,
   Computer Methods Applied Mechanics and Engineering 355: 261-283, 2019
   https://doi.org/10.1016/j.cma.2019.06.023
   pdf article
6. I. Akkerman, M.F.P. ten Eikelder
   Toward free-surface flow simulations with correct energy evolution: an isogeometric level-set approach with monolithic time-integration,
   Computers and Fluids 181: 77-89, 2019
   https://doi.org/10.1016/j.compfluid.2019.01.015
   pdf article

3. M.F.P. ten Eikelder, I. Akkerman
   Correct energy evolution of stabilized formulations: The relation between VMS, SUPG and GLS via dynamic orthogonal small-scales and isogeometric analysis. II: The incompressible Navier-Stokes equations,
   Computer Methods Applied Mechanics and Engineering 340: 1135-1159, 2018
   https://doi.org/10.1016/j.cma.2018.02.030
   pdf article
4. M.F.P. ten Eikelder, I. Akkerman
   Correct energy evolution of stabilized formulations: The relation between VMS, SUPG and GLS via dynamic orthogonal small-scales and isogeometric analysis. I: The convective-diffusive context,
   Computer Methods Applied Mechanics and Engineering 331: 259-280, 2018
   https://doi.org/10.1016/j.cma.2017.11.020
   pdf article

1. M.F.P. ten Eikelder, F. Daude, B. Koren, A.S. Tijsseling
   An acoustic-convective splitting-based approach for the Kapila two-phase flow model,
   Journal of Computational Physics 331: 188-208, 2017
   https://doi.org/10.1016/j.jcp.2016.11.031
   pdf article

1. M.F.P. ten Eikelder, M.A. Khanwale
   Ostwald ripening and breakup characteristics of the advective Cahn-Hilliard equation: The role of free energy functionals,
   Proceedings of the 2024 Summer Program - Center for Turbulence Research​
   Stanford University, Stanford, 2024
   https://web.stanford.edu/group/ctr/ctrsp24/iv04_TEN.pdf
   pdf article
2. M.F.P. ten Eikelder, I. Akkerman, R. van 't Veer
   Correct energy behavior in two-fluid flow,
   Proceedings of the 20th Numerical Towing Tank Symposium - NuTTS'17
   Wageningen, the Netherlands (October 2017)
   
3. M.F.P. ten Eikelder, F. Daude, B. Koren
   A Lagrange-Projection-Like Numerical Scheme for Mixed Acoustic-Convective Two-Phase Flows
   Proceedings of the ASME 2016 Pressure Vessels and Piping Conference - PVP 2016
   Vancouver, Canada (July 2016), paper PVP2016-63539
   https://doi.org/10.1115/PVP2016-63539
   pdf article